Parity Considerations for Mex-Related Partition Functions of Andrews and Newman

zbMath1480.11131arXiv2004.02292MaRDI QIDQ5113654

James A. Sellers, Robson da Silva

Publication date: 15 June 2020

Full work available at URL: https://arxiv.org/abs/2004.02292

zbMATH Keywords

partitionparitymex-function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (7)

Combinatorial perspectives on the Crank and mex partition statistics ⋮ Minimal excludant over partitions into distinct parts ⋮ Congruences for the coefficients of the Gordon and McIntosh mock theta function \(\xi (q)\) ⋮ Parity distribution and divisibility of mex-related partition functions ⋮ A refinement of a result of Andrews and Newman on the sum of minimal excludants ⋮ A new generalization of the minimal excludant arising from an analogue of Franklin's identity ⋮ On mex-related partition functions of Andrews and Newman

Uses Software

• OEIS

Cites Work

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• Parity results for broken k-diamond partitions and (2k+1)-cores
• ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
• Dyson’s crank of a partition

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